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ruslelena [56]
3 years ago
14

How do I do these 2 questions in the picture provided?

Mathematics
1 answer:
poizon [28]3 years ago
3 0
1) Arc Length, knowing Ф value, the central angle: 2π.R.(Ф/360°)

Length (Arc ACB) = 2π(8).(90/360) = 16π/4 = 4π
Perimeter ACBO = Length (Arc ACB) + OA + OB = 4π + 8 + 8
Perimeter ACBO = 4π+16 (answer)

2) Area of a circular sector = πR².(Ф/360°)
    Area of right triangle AOB = AO.AB/2 = 8x8/2 = 64/2 = 32 (Needed later)
Area ACBO = π.8².(90°/360°) = 64.π.1/4 = 16π, BUT WE NEED the area limited between the arc and the chord:
Area bounded by cord and arc)=Area sector (ACB0) - Area right triangle AOB
Area bounded by cord and arc= 16π- 64/2.

Area bounded by cord and arc= 16π- 32 (answer D)

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A line intersects the points (-14,-10) and (7,5). find the slope of the line and simplify
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The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14

Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7
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3 years ago
99 POINT QUESTION PLUS BRAINLIEST!!!
MA_775_DIABLO [31]
The graphs arey=(1/3)x^2
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3 years ago
Determine if the expression – 6y5 z5 – is a polynomial or not. If it is a
sasho [114]

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it is not

Step-by-step explanation:

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8 0
3 years ago
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To earn an A in an algebra course, a student must have a test average of at least 90. Mary has grades of 95, 82, 88 on her first
Fofino [41]

Answer: Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

Step-by-step explanation:

Let x be the grades scored by Mary in the fourth algebra test.

Mary has grades of 95, 82, 88 on her first three algebra tests.

Then, the combined scores in four test will become = 95+82+88+x =  265+x

Average score = (Sum of all scores) ÷ (Number of tests)

=\dfrac{265+x}{4}

As per given ,

To earn an A in an algebra course, a student must have a test average of at least 90.

i.e. Average score ≥ 90

\Rightarrow\ \dfrac{265+x}{4}\geq90\\\\\Rightarrow\ 265+x\geq 90\times4=360\\\\\Rightarrow\ x\geq360-265 =95\\\\\Rightarrow\ x\geq90

Hence, Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

5 0
3 years ago
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